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Our previous empirical; scaling model for Psendo Relative Velocity (PSV) spectrum amplitudes has been refined here by introducing the frequency dependent attenuation of amplitudes with distance (Trifunac and Lee, 1985a). The new model also considers the depth of earthquake focus and the approximate characterization of the source size to compute the representative source to station distances in addition to all other scaling parameters used previously (Trifunac and Anderson, 1977). The form of the probability distribution function of spectral amplitudes proposed by Trifunac and Anderson (1977) to describe the distribution of the residuals about the best regression model has been confirmed by this analysis.